Answer:
4. 8/15
Step-by-step explanation:
I will do #4. For dividing fractions, you multiply them together and remember to flip the second one.
Example: Instead of 2/5 divided by 3/4, it would be (2/5)(4/3), which = 8/15. Multiply the 2 and the 4 to get 8, then multiply the 5 and the 3 to get 15.
Answer:
"ALL of the beverages at The Zest Nest ARE LIKELY to contain 46 grams of sugar or less, but NONE of the beverages at Jim's Juice Join ARE LIKELY to contain LESS THAN 46 grams of sugar."
Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
Answer:
x = 10
Step-by-step explanation:
(3x)/2 = 15 is your question.
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponent (& roots), Multiplication, Division, Addition, Subtraction).
First, multiply 2 to both sides
((3x)/2) = (15)(2)
3x = (15)(2)
3x = 30
Next, to isolate the variable (x), divide 3 from both sides
(3x)/3 = (30)/3
x = 30/3
x = 10
x = 10 is your answer
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